Question

Which expression is a possible leading term for the polynomial function graphed below?

–18x^14
–10x^7
17x^12
22x^9

Answer 1

D, 22x^9

Explanation:

Here's a key for end behavior: Look at the leading term

x^even = x -> neg inf, f(x) -> pos inf; x -> pos inf, f(x) -> pos inf

-x^even = x -> neg inf, f(x) -> neg inf; x -> pos inf, f(x) -> neg inf

x^odd = x -> neg inf, f(x) -> neg inf; x -> pos inf, f(x) -> pos inf

-x^odd = x -> neg inf, f(x) -> pos inf; x -> pos inf, f(x) -> neg inf

Answer 2

`22x^(9)` represent the given graph

Explanation:

Given graph : polynomial function graphed .

To find : Which expression is a possible leading term for the polynomial function .

Solution : We have given that

Graph with left end down and right end up.

By the end point behavior : If the degree of polynomial function is odd and leading coefficient is positive then left end is down and right end is up.

We can see from the given option
`22x^(9)`

It has degree = 9 (odd )

Leading coefficient = 22 ( positive ).

Therefore,
`22x^(9)` represent the given graph.